Exact probabilities for typical ranks of 2×2×2 and 3×3×2 tensors
نویسندگان
چکیده
منابع مشابه
Exact probabilities for typical ranks of 2 × 2 × 2 and 3 × 3 × 2 tensors
We show that the probability to be of rank 2 for a 2× 2× 2 tensor with elements from a standard normal distribution is π/4, and that the probability to be of rank 3 for a 3× 3× 2 tensor is 1/2. In the proof results on the expected number of real generalized eigenvalues of random matrices are applied. For n × n × 2 tensors with n ≥ 4 we also present some new aspects of their rank.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2011.02.041